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# 339 HW 4 - CHE 339 BIO 335/BME 339 Fall 2010 Homework#4...

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CHE 339/ BIO 335/BME 339 Fall 2010 Homework #4 Assigned: Sept. 21, 2010 Due: Tuesday Sept 28, 2010 1. In a chemostat with cell recycle, the feed flow rate and culture volumes are F = 100 ml/h and V = 1000 ml, respectively. The system is operated under glucose limitation, and the yield coefficient, M S X Y is 0.5 g cells/g substrate. Glucose concentration in the feed is S 0 = 10 g glucose/l. The kinetic constants of the organisms are M μ = 0.2 h -1 , K S = 1 g glucose/l. The value of C is 1.5, and the recycle ratio is 7 . 0 = α . The system is at a steady state and the cells obey Monod kinetics. A. Find the cell (biomass) concentration in the recycle stream. B. Find the cell concentration in the centrifuge effluent (X 2 ). 2. See scanned image below (from Shuler and Kargi, bioprocess Engineering) 3. A 10 liter jar contains 10 5 contaminating organisms/ml. The jar is to be sterilized by heating but unfortunately, the medium contains a limiting nutrient which is susceptible to thermal destruction. It is desired to carry out sterilization so that N f =10 -3 (i.e. probability of contamination is 1:1,000).

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